One way to think of this is that smaller numbers are more constrained in a sense. As numbers get bigger more possibilities arise. For example, in lower dimensi

One way to think of this is that smaller numbers are more constrained in a sense. As numbers get bigger more possibilities arise. For example, in lower dimensions you get accidental isomorphisms [0]. These exist essentially because the defining equations are more constrained in lower dimensions. A more tongue in cheek intuition is the interesting numbers theorem, which says essentially that every integer is interesting. One of the things that can make a number interesting is that there's a property for which it's the first counterexample. [0] https://en.wikipedia.org/wiki/Exceptional_isomorphism https://en.wikipedia.org/wiki/Exceptional_isomorphism